流通量间断守恒高阶交通流模型及其数值模拟

乔殿梁; 李晓洋; 郭明旻; 张鹏

doi:10.21656/1000-0887.390277

流通量间断守恒高阶交通流模型及其数值模拟

doi: 10.21656/1000-0887.390277

¹上海大学上海市应用数学和力学研究所, 上海 200072;²复旦大学航空航天系, 上海 200433;³上海市力学在能源工程中的应用重点实验室, 上海 200072

基金项目: 国家自然科学基金（面上项目)(11672348;11272199)；国家重点研发计划(2018YFB1600900);国家重点基础研究发展计划(973计划)(2012CB725404)

详细信息

作者简介:
乔殿梁(1982—)，女，博士生(E-mail: qdl821115@163.com);张鹏(1963—)，男，教授(通讯作者. E-mail: pzhang@shu.edu.cn).

中图分类号: O29
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- 文章访问数: 1408
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- 被引次数: 0
出版历程
- 收稿日期: 2018-11-01
- 修回日期: 2019-01-02
- 刊出日期: 2019-05-01

A Conserved HighOrder Traffic Flow Model With Discontinuous Flux and Its Numerical Simulation

¹Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China;²Department of Aeronautics and Astronautics,Fudan University, Shanghai 200433, P.R.China;³Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai 200072, P.R.China

Funds: The National Natural Science Foundation of China（General Program)(11672348;11272199);The National Key R&D Program of China(2018YFB1600900);The National Basic Research Program of China(973 Program)(2012CB725404)

摘要

摘要: 在非均匀道路条件下，推广了各向异性守恒高阶交通流模型(CHO模型)，获得流通量间断CHO模型，并基于其Riemann不变量性质，运用局部简化方法及δ映射算法，设计了求解流通量间断CHO模型的一阶Godunov、EO(Engquist-Osher)和LF(Lax-Friedrichs)等数值格式.通过数值模拟表明流通量间断CHO模型是合理有效的，它可以描述平衡态和非平衡态交通流，相对于流通量间断LWR(Lighthill-Whitham-Richards)模型，其能更好地刻画实际交通现象.
- 流通量间断CHO模型 /
- Riemann不变量 /
- 局部简化 /
- δ映射
Abstract: Under inhomogeneous road conditions, a conserved high-order (CHO) anisotropic traffic flow model was extended to obtain a CHO model with discontinuous fluxes. Based on the property of the Riemann invariant for the CHO model with discontinuous fluxes, the first-order Godunov, EO (Engquist-Osher) and LF (Lax-Friedrichs) numerical schemes for this model were designed with the local simplification method and the δ mapping algorithm. The numerical simulations show that, the CHO model with discontinuous fluxes is reasonable and effective. It can describe equilibrium and non-equilibrium traffic flows, and can better describe the actual traffic phenomena compared with the LWR (Lighthill-Whitham-Richards) model with a discontinuous flux.
- CHO model with discontinuous fluxes /
- Riemann invariant /
- local simplification /
- δ mapping

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参考文献(40)

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流通量间断守恒高阶交通流模型及其数值模拟

doi: 10.21656/1000-0887.390277

作者简介:
乔殿梁(1982—)，女，博士生(E-mail: qdl821115@163.com);张鹏(1963—)，男，教授(通讯作者. E-mail: pzhang@shu.edu.cn).

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A Conserved HighOrder Traffic Flow Model With Discontinuous Flux and Its Numerical Simulation

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留言板

流通量间断守恒高阶交通流模型及其数值模拟

doi: 10.21656/1000-0887.390277

作者简介: 乔殿梁(1982—)，女，博士生(E-mail: qdl821115@163.com);张鹏(1963—)，男，教授(通讯作者. E-mail: pzhang@shu.edu.cn).

计量

出版历程

A Conserved HighOrder Traffic Flow Model With Discontinuous Flux and Its Numerical Simulation

计量

出版历程

目录

作者简介:
乔殿梁(1982—)，女，博士生(E-mail: qdl821115@163.com);张鹏(1963—)，男，教授(通讯作者. E-mail: pzhang@shu.edu.cn).